Question

In: Advanced Math

Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in...

Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.45, on one serving of Dial 911, $0.58. Each serving of Wimpy requires 0.25 pound of beef, 0.25 cup of onions, and 5 ounces of Kilgore's special sauce. Each serving of Dial 911 requires 0.25 pound of beef, 0.4 cup of onions, 2 ounces of Kilgore's special sauce, and 5 ounces of hot sauce. Today, Kilgore has 20 pounds of beef, 15 cups of onions, 88 ounces of Kilgore's special sauce, and 60 ounces of hot sauce on hand.

  1. Develop an LP model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today.
    Let
    W = # of servings of Wimpy to make
    D = # of servings of Dial 911 to make
    Max W + D
    s.t.
    W + D (Beef)
    W + D (Onions)
    W + D (Special Sauce)
    D (Hot Sauce)
    W, D 0
  2. Find an optimal solution. Round the answer for profit to the nearest cent and, if required, round the answers for W and D to one decimal place.

    Solution: W = , D = , Profit = $  
  3. What is the dual value for special sauce? Round your answer to the nearest cent.

    Dual value for special sauce = $  
  4. Increase the amount of special sauce available by 1 ounce. Give the new solution. Round the answer for profit to the nearest cent.

    Solution: W = , D = , Profit = $  

    Does the solution confim the answer to part (c)?

Solutions

Expert Solution

Formulas:

Sensitivity Report:


Related Solutions

Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.4, on one serving of Dial 911, $0.53. Each serving of Wimpy requires 0.2 pound of beef,...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.4, on one serving of Dial 911, $0.53. Each serving of Wimpy requires 0.2 pound of beef,...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.41, on one serving of Dial 911, $0.54. Each serving of Wimpy requires 0.21 pound of beef,...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $.45, on one serving of Dial 911, $.58. Each serving of Wimpy requires .25 pound of beef,...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in...
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.42, on one serving of Dial 911, $0.55. Each serving of Wimpy requires 0.22 pound of beef,...
Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in...
Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.35, on one serving of Dial 911, $0.59. Each serving of Wimpy requires 0.45 pound of beef,...
Problem 9-05 (Algorithmic) Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does...
Problem 9-05 (Algorithmic) Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.51, on one serving of Dial 911, $0.69. Each serving of Wimpy requires 0.21...
Ms. Smith, the owner and manager of the Clear Duplicating Service located near a major university,...
Ms. Smith, the owner and manager of the Clear Duplicating Service located near a major university, is contemplating keeping her shop open after 4PM and until midnight. In order to do so, she would have to hire additional workers. She estimates that the additional workers would generate the following total output (where each unit of output refers to 100 pages duplicated). If the price of each unnit of output is $10 and each worker hired must be paid $40 per...
Chapter Case: Campus Bikes Campus Bikes is a popular bicycle shop located near a major university....
Chapter Case: Campus Bikes Campus Bikes is a popular bicycle shop located near a major university. The business has grown and the owner, Mark Turner, wants to install an up-to-date computer system to handle all business functions. Background Campus Bikes sells several brands of new bikes, including everything from high-end racing models to beach cruisers. In addition to sales of new bikes and accessories, Mark’s service department is always busy. The staff includes Mark himself, a bookkeeper, two part-time sales...
A small village is located near a stream which is to be used as the source...
A small village is located near a stream which is to be used as the source of water supply for the community. The minimum flow in the stream is 550 m3/h. The population analysis reveals that the population is expected to increase linearly from a population of 10,000 in 2008 to 30,000 in 2058. The water consumption of the community is estimated to reach an annual average demand of 300 L/capita/day, a maximum daily demand of 1.8 times the annual...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT